No-Core MCSM calculation for 10Be and 12Be low-lying spectra

Lang Liu,Robert Roth,Takaharu Otsuka,Yutaka Utsuno,Noritaka Shimizu

doi:10.1088/1742-6596/445/1/012005

Abstract

The low-lying excited states of 10Be and 12Be are investigated within a no-core Monte Carlo Shell Model (MCSM) framework employing a realistic potential obtained via the Unitary Correlation Operator Method. The excitation energies of the 2+1 and 2+2 states and the B(E2; 2+1,2 → 0+g.s.) for 10Be in the MCSM with a standard treatment of spurious center-of-mass motion show good agreement with experimental data. Some properties of low-lying states of 10Be are studied in terms of quadrupole moments and E2 transitions. The E2 transition probability of 10C, the mirror nucleus of 10Be, is also presented with a good agreement to experiment. The triaxial deformation of 10Be and 10C is discussed in terms of the B(E2) values.

Highlights

One of the major goals in nuclear physics is to understand the structure and reactions of nuclei starting from realistic nuclear interactions
We discuss the interactions and model spaces used for the no-core Monte Carlo Shell Model (MCSM) and provide some benchmark calculations for the 4He ground state
The model space of the MCSM is spanned by a harmonic oscillator basis truncated with respect to the unperturbed single-particle energies emax = 2n + l

Summary

Introduction

One of the major goals in nuclear physics is to understand the structure and reactions of nuclei starting from realistic nuclear interactions. Besides the challenge of solving the nuclear many-body problem, this endeavor is complicated by the fact that our understanding of the nuclear force is not complete yet. There are two ways to construct an accurate representation of nuclear force. One can construct a two-body potential phenomenologically by fitting experimental data on nucleonnucleon (NN ) scattering, as it is done in the Argonne V18 potential [1], the CD-Bonn potential [2] and the Nijmegen potentials [3]. Consistent two- and many-body interactions can be constructed in the framework of chiral effective field theory using the symmetries and the effective degrees of freedom of low-energy QCD as a guiding principle. The chiral N3LO potential is such an accurate charge-dependent nucleon-nucleon potential

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Results

Conclusion